Information on Result #683034

Linear OA(579, 3143, F5, 19) (dual of [3143, 3064, 20]-code), using construction X applied to Ce(18) ⊂ Ce(15) based on
  1. linear OA(576, 3125, F5, 19) (dual of [3125, 3049, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(53, 18, F5, 2) (dual of [18, 15, 3]-code), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(580, 3144, F5, 19) (dual of [3144, 3064, 20]-code) [i]Code Embedding in Larger Space
2Linear OOA(579, 2879, F5, 2, 19) (dual of [(2879, 2), 5679, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(579, 2879, F5, 3, 19) (dual of [(2879, 3), 8558, 20]-NRT-code) [i]
4Digital (60, 79, 2879)-net over F5 [i]
5Linear OA(580, 3145, F5, 19) (dual of [3145, 3065, 20]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OA(581, 3147, F5, 19) (dual of [3147, 3066, 20]-code) [i]
7Linear OOA(579, 1571, F5, 2, 19) (dual of [(1571, 2), 3063, 20]-NRT-code) [i]OOA Folding
8Linear OOA(579, 1047, F5, 3, 19) (dual of [(1047, 3), 3062, 20]-NRT-code) [i]
9Linear OOA(579, 349, F5, 19, 19) (dual of [(349, 19), 6552, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row